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Finding the Fourth Proportional to 2,009.67, 3,014.16 and 548.48

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Solution

The fourth proportional to 2,009.67, 3,014.16 and 548.48 is: 822.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.67 : 3,014.16 = 548.48 : x
  2. Step 2: Convert to fraction form
    2,009.67/3,014.16 = 548.48/x
  3. Step 3: Cross multiply
    2,009.67x = 3,014.16 × 548.48
  4. Step 4: Simplify right side
    2,009.67x = 1,653,191.41
  5. Step 5: Solve for x
    x = 1,653,191.41/2,009.67
  6. Step 6: Final answer
    x = 822.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.